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Finding the Fourth Proportional to 2,358.29, 3,254.31 and 1,310.33

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Solution

The fourth proportional to 2,358.29, 3,254.31 and 1,310.33 is: 1,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.29 : 3,254.31 = 1,310.33 : x
  2. Step 2: Convert to fraction form
    2,358.29/3,254.31 = 1,310.33/x
  3. Step 3: Cross multiply
    2,358.29x = 3,254.31 × 1,310.33
  4. Step 4: Simplify right side
    2,358.29x = 4,264,220.02
  5. Step 5: Solve for x
    x = 4,264,220.02/2,358.29
  6. Step 6: Final answer
    x = 1,808.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.